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Finding the Fourth Proportional to 128,767.83, 177,694.67 and 71,409.51

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Solution

The fourth proportional to 128,767.83, 177,694.67 and 71,409.51 is: 98,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,767.83 : 177,694.67 = 71,409.51 : x
  2. Step 2: Convert to fraction form
    128,767.83/177,694.67 = 71,409.51/x
  3. Step 3: Cross multiply
    128,767.83x = 177,694.67 × 71,409.51
  4. Step 4: Simplify right side
    128,767.83x = 12,689,088,957.26
  5. Step 5: Solve for x
    x = 12,689,088,957.26/128,767.83
  6. Step 6: Final answer
    x = 98,542.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.